Answer:
A
Step-by-step explanation:
1/2(2/3y) - 1/3y = 5
1/3y - 1/3y = 5
0 ≠ 5
No Solutions
These are linear equations and, when graphed, are parallel
Answer:
Yes, they are correct. Hernando divided 6 by 6.
Step-by-step explanation:
Given that:
Hernando ate 2/8 of a pizza for dinner.
Let the pizza be x. Then:
Hernando ate ![\dfrac{2}{8} \ \ o f \ \ x](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B8%7D%20%5C%20%5C%20o%20f%20%20%5C%20%5C%20x)
Then he gave the rest of the pizza to his friends
Hernando now carried out the following calculations to support his activities;
![\dfrac{6}{8} \div 6= \dfrac{6 \div 6}{8}= \dfrac{1}{8}](https://tex.z-dn.net/?f=%5Cdfrac%7B6%7D%7B8%7D%20%5Cdiv%206%3D%20%5Cdfrac%7B6%20%5Cdiv%206%7D%7B8%7D%3D%20%5Cdfrac%7B1%7D%7B8%7D)
![\dfrac{6}{8} \times \dfrac{1}{6}= \dfrac{6 \div 6}{8}= \dfrac{1}{8}](https://tex.z-dn.net/?f=%5Cdfrac%7B6%7D%7B8%7D%20%5Ctimes%20%5Cdfrac%7B1%7D%7B6%7D%3D%20%5Cdfrac%7B6%20%5Cdiv%206%7D%7B8%7D%3D%20%5Cdfrac%7B1%7D%7B8%7D)
From the above calculation; we will see that Hernando divided 6 by 6 in both cases to get
.
Thus, the correct answer is:
Yes, they are correct. Hernando divided 6 by 6.
Answer:
88
Step-by-step explanation:
(17 * 11 = 187) + (9 * -11 = -99)
187 - 99 = 88
Answer:
192
Step-by-step explanation:
To find how many phones are expected to be defective, we need to represent the values in a fraction.
![\dfrac{x}{8000}=\dfrac{3}{125}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B8000%7D%3D%5Cdfrac%7B3%7D%7B125%7D)
x = number of defective phones
Now we can solve this using algebra.
To get the value of x we need to multiply both sides by 8000 to leave x alone.
![x=\dfrac{3}{125}(8000)](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B3%7D%7B125%7D%288000%29)
![x=0.024(8000)](https://tex.z-dn.net/?f=x%3D0.024%288000%29)
![x=192](https://tex.z-dn.net/?f=x%3D192)
So around 192 cell phones are expected to be defective out of 8000 phones.
Y = -2/3x + 7.....the slope here is -2/3. A perpendicular line will have a negative reciprocal slope. All tht means is take the original slope, flip it, and change the sign. So we take -2/3....flip it making it -3/2.....change the sign making it 3/2. So ur perpendicular line will have a slope of 3/2.
y = mx + b
slope(m) = 3/2
(-5,6)....x = -5 and y = 6
now sub and find b, the y int
6 = 3/2(-5) + b
6 = -15/2 + b
6 + 15/2 = b
12/2 + 15/2 = b
27/2 = b
so ur perpendicular equation is : y = 3/2x + 27/2 <==